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Finding the Fourth Proportional to 3,428.39, 5,143.95 and 2,042.39

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Solution

The fourth proportional to 3,428.39, 5,143.95 and 2,042.39 is: 3,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.39 : 5,143.95 = 2,042.39 : x
  2. Step 2: Convert to fraction form
    3,428.39/5,143.95 = 2,042.39/x
  3. Step 3: Cross multiply
    3,428.39x = 5,143.95 × 2,042.39
  4. Step 4: Simplify right side
    3,428.39x = 10,505,926.32
  5. Step 5: Solve for x
    x = 10,505,926.32/3,428.39
  6. Step 6: Final answer
    x = 3,064.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.